Banca de DEFESA: JUNILSON CERQUEIRA DA SILVA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE : JUNILSON CERQUEIRA DA SILVA
DATA : 06/06/2019
HORA: 16:00
LOCAL: Instituto de Matemática, Sala 12
TÍTULO:

Komuro-expansiveness for sectional-hyperbolic attracting sets


PALAVRAS-CHAVES:

Hyperbolic dynamic, sectional-hyperbolic set, expansiveness,
global Poincaré map, strong dissipativity, stable foliation.


PÁGINAS: 75
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
SUBÁREA: Geometria e Topologia
ESPECIALIDADE: Sistemas Dinâmicos
RESUMO:

In this work we prove the expansiveness according to Komuro for hyperbolic-sectional measures for a variety of dimension d ≥ 3. For this we present two results, the first is restricted to the case in that d_cu = 2, that is, the center-unstable subfibre of the sink has dimensions are 2 and the second is for the case d_cu> 2. In the latter case we will see that it is necessary to assume that the sink is 1-strongly dissipative. However, Poincaré, our main tool for study of expansivity, and we used stable foliation throughout the region trap containing the sink to analyze expansion of distances. We also present some consequences of these results.



MEMBROS DA BANCA:
Interno - 1318879 - AUGUSTO ARMANDO DE CASTRO JUNIOR
Interno - 1283019 - VILTON JEOVAN VIANA PINHEIRO
Interno - 1518921 - VITOR DOMINGOS MARTINS DE ARAUJO
Externo à Instituição - FELIPE FONSECA DOS SANTOS - UFRB
Externo à Instituição - LUCIANA SILVA SALGADO - UFRJ
Notícia cadastrada em: 10/07/2019 09:47
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